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Let's say that the problem is x/2 = 3/6. You could begin to solve for x by cross-multiplying, which means that you would multiply each fraction's numerator by the other fraction's denominator and then you would set those products equal to each other. So in this case, you would have x · 6 = 3 · 2 after cross-multiplying.
It can be proven that cross-multiplication is reliable:
Let a/b = c/d
a/b · d = c | multiply both sides by d
ad/b = c | simplify
ad = cb | multiply both sides by b
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Can a proportion be equal if the cross products are not equal?
No. A cross product is just a way of simplifying a proportion. If the cross product aren't equal, it follows logically that the proportion isn't equal.
What is true about the cross products of a proportion?
They're equal
How can you tell if a proportion is false?
Multiply the cross products, and see if they are equal. If they are equal, the proportion is true. If they are unequal, the proportion is false.
How is a proportion changed into a mathematical equation?
a proportion is an equation. a / b = c / d cross multiply: ad = bc then solve
How do you solve proportions using cross products?
say it is 1 over 2 is equal to x over 4 you multiply 4 and 1 then 2 and x and you get 4=2x. Solve for x = 2. So the equivalent proportion is 2/4.
